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【期刊论文】Proof of a Conjecture of Ehrenborg and Steingrímsson on Excedance Statistics
王毅, WANG Yi
European Journal of Combinatorics,-0001,():
-1年11月30日
We give an affirmative answer to a conjecture of Ehrenborg and Steingrimsson on the general log-concavity of the excedance statistics.
Permutations,, Excedance sets,, Log-concavity,,
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【期刊论文】Notes on Chvatal’s conjecture
王毅, WANG Yi
Discrete Mathematics,-0001,():
-1年11月30日
Using Kleitman’s lemma and results of Sch2onheim and Miklos it is shown that if w(D)=|D|/2, then every maximum-sized intersecting family in D contains all base elements of D. Then, the converse of this statement is conjectured and shown that this is equivalent to that of Chvatal.
Downsets,, Intersecting families,, Stars
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